{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Importing PulP solver\n",
    "from pulp import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Demand points\n",
    "demand_points=['Mina Salman','Port of Haifa']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Mina Salman', 'Port of Haifa']"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "demand_points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Supply Points\n",
    "supply_points=['Port of Vienna','Port of Antwerp','Port of Shanghai','Port of Hamburg_Czeck','Port of Marseille','Port of Hamburg_Germany','Port of Hong Kong','Port of Budapest','Port of Jawaharlal Nehru','Port of Gioia Tauro','Port of Nagoya','Port of Busan','Penang Port','Port of Manzanillo','Port of Rotterdam','Port of Gdansk','Port of Vladivostok','Port of Novorossiysk','Port of St. Petersburg','Port of Algeciras','Port of Bangkok','Port of Mersin','Port of Immingham','Port of New York','Port of Los Angeles','Port of Saigon']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Port of Vienna',\n",
       " 'Port of Antwerp',\n",
       " 'Port of Shanghai',\n",
       " 'Port of Hamburg_Czeck',\n",
       " 'Port of Marseille',\n",
       " 'Port of Hamburg_Germany',\n",
       " 'Port of Hong Kong',\n",
       " 'Port of Budapest',\n",
       " 'Port of Jawaharlal Nehru',\n",
       " 'Port of Gioia Tauro',\n",
       " 'Port of Nagoya',\n",
       " 'Port of Busan',\n",
       " 'Penang Port',\n",
       " 'Port of Manzanillo',\n",
       " 'Port of Rotterdam',\n",
       " 'Port of Gdansk',\n",
       " 'Port of Vladivostok',\n",
       " 'Port of Novorossiysk',\n",
       " 'Port of St. Petersburg',\n",
       " 'Port of Algeciras',\n",
       " 'Port of Bangkok',\n",
       " 'Port of Mersin',\n",
       " 'Port of Immingham',\n",
       " 'Port of New York',\n",
       " 'Port of Los Angeles',\n",
       " 'Port of Saigon']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "supply_points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the distances\n",
    "distance = dict(zip(supply_points,[dict(zip(demand_points, [5729,2306])),\n",
    "dict(zip(demand_points, [7193,3804])),\n",
    "dict(zip(demand_points, [6882,8336])),\n",
    "dict(zip(demand_points, [7561,4173])),\n",
    "dict(zip(demand_points, [5332,1946])),\n",
    "dict(zip(demand_points, [7561,4173])),\n",
    "dict(zip(demand_points, [6021,7475])),\n",
    "dict(zip(demand_points, [5615,2192])),\n",
    "dict(zip(demand_points, [1589,3510])),\n",
    "dict(zip(demand_points, [4620,1230])),\n",
    "dict(zip(demand_points, [7759,9214])),\n",
    "dict(zip(demand_points, [7398,8852])),\n",
    "dict(zip(demand_points, [3856,5310])),\n",
    "dict(zip(demand_points, [13061,9673])),\n",
    "dict(zip(demand_points, [7284,3894])),\n",
    "dict(zip(demand_points, [8277,4889])),\n",
    "dict(zip(demand_points, [7981,9435])),\n",
    "dict(zip(demand_points, [5139,1715])),\n",
    "dict(zip(demand_points, [8787,5398])),\n",
    "dict(zip(demand_points, [5631,2242])),\n",
    "dict(zip(demand_points, [5102,6556])),\n",
    "dict(zip(demand_points, [3831,233])),\n",
    "dict(zip(demand_points, [7334,3944])),\n",
    "dict(zip(demand_points, [9168,5756])),\n",
    "dict(zip(demand_points, [14552,11048])),\n",
    "dict(zip(demand_points, [4964,6418]))]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Vienna': {'Mina Salman': 5729, 'Port of Haifa': 2306},\n",
       " 'Port of Antwerp': {'Mina Salman': 7193, 'Port of Haifa': 3804},\n",
       " 'Port of Shanghai': {'Mina Salman': 6882, 'Port of Haifa': 8336},\n",
       " 'Port of Hamburg_Czeck': {'Mina Salman': 7561, 'Port of Haifa': 4173},\n",
       " 'Port of Marseille': {'Mina Salman': 5332, 'Port of Haifa': 1946},\n",
       " 'Port of Hamburg_Germany': {'Mina Salman': 7561, 'Port of Haifa': 4173},\n",
       " 'Port of Hong Kong': {'Mina Salman': 6021, 'Port of Haifa': 7475},\n",
       " 'Port of Budapest': {'Mina Salman': 5615, 'Port of Haifa': 2192},\n",
       " 'Port of Jawaharlal Nehru': {'Mina Salman': 1589, 'Port of Haifa': 3510},\n",
       " 'Port of Gioia Tauro': {'Mina Salman': 4620, 'Port of Haifa': 1230},\n",
       " 'Port of Nagoya': {'Mina Salman': 7759, 'Port of Haifa': 9214},\n",
       " 'Port of Busan': {'Mina Salman': 7398, 'Port of Haifa': 8852},\n",
       " 'Penang Port': {'Mina Salman': 3856, 'Port of Haifa': 5310},\n",
       " 'Port of Manzanillo': {'Mina Salman': 13061, 'Port of Haifa': 9673},\n",
       " 'Port of Rotterdam': {'Mina Salman': 7284, 'Port of Haifa': 3894},\n",
       " 'Port of Gdansk': {'Mina Salman': 8277, 'Port of Haifa': 4889},\n",
       " 'Port of Vladivostok': {'Mina Salman': 7981, 'Port of Haifa': 9435},\n",
       " 'Port of Novorossiysk': {'Mina Salman': 5139, 'Port of Haifa': 1715},\n",
       " 'Port of St. Petersburg': {'Mina Salman': 8787, 'Port of Haifa': 5398},\n",
       " 'Port of Algeciras': {'Mina Salman': 5631, 'Port of Haifa': 2242},\n",
       " 'Port of Bangkok': {'Mina Salman': 5102, 'Port of Haifa': 6556},\n",
       " 'Port of Mersin': {'Mina Salman': 3831, 'Port of Haifa': 233},\n",
       " 'Port of Immingham': {'Mina Salman': 7334, 'Port of Haifa': 3944},\n",
       " 'Port of New York': {'Mina Salman': 9168, 'Port of Haifa': 5756},\n",
       " 'Port of Los Angeles': {'Mina Salman': 14552, 'Port of Haifa': 11048},\n",
       " 'Port of Saigon': {'Mina Salman': 4964, 'Port of Haifa': 6418}}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Glass Demand\n",
    "glass_demand=dict(zip(demand_points, [41256358.47,35878870.91]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Mina Salman': 41256358.47, 'Port of Haifa': 35878870.91}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "glass_demand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Glass Supply\n",
    "glass_supply=dict(zip(supply_points, [897756.3973,3142147.3790,16877820.2100,2513717.9040,4039903.7740,9785544.6960,3788531.9830,1346634.5910,1256858.9520,3411474.2980,4039903.7740,1975064.0670,1526185.8700,1975064.0670,1705737.1490,3052371.7400,498472.9915,243131.0679,245927.9741,1615961.5090,1077307.6730,1256858.9520,1795512.7880,4708260.2780,3281771.6290,1077307.6730])) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Vienna': 897756.3973,\n",
       " 'Port of Antwerp': 3142147.379,\n",
       " 'Port of Shanghai': 16877820.21,\n",
       " 'Port of Hamburg_Czeck': 2513717.904,\n",
       " 'Port of Marseille': 4039903.774,\n",
       " 'Port of Hamburg_Germany': 9785544.696,\n",
       " 'Port of Hong Kong': 3788531.983,\n",
       " 'Port of Budapest': 1346634.591,\n",
       " 'Port of Jawaharlal Nehru': 1256858.952,\n",
       " 'Port of Gioia Tauro': 3411474.298,\n",
       " 'Port of Nagoya': 4039903.774,\n",
       " 'Port of Busan': 1975064.067,\n",
       " 'Penang Port': 1526185.87,\n",
       " 'Port of Manzanillo': 1975064.067,\n",
       " 'Port of Rotterdam': 1705737.149,\n",
       " 'Port of Gdansk': 3052371.74,\n",
       " 'Port of Vladivostok': 498472.9915,\n",
       " 'Port of Novorossiysk': 243131.0679,\n",
       " 'Port of St. Petersburg': 245927.9741,\n",
       " 'Port of Algeciras': 1615961.509,\n",
       " 'Port of Bangkok': 1077307.673,\n",
       " 'Port of Mersin': 1256858.952,\n",
       " 'Port of Immingham': 1795512.788,\n",
       " 'Port of New York': 4708260.278,\n",
       " 'Port of Los Angeles': 3281771.629,\n",
       " 'Port of Saigon': 1077307.673}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "glass_supply"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set Problem Variables\n",
    "prob = LpProblem(\"Transportation\", LpMinimize)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "None\n",
       "VARIABLES"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set Problem Variables\n",
    "routes = [(i,j) for i in supply_points for j in demand_points]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('Port of Vienna', 'Mina Salman'),\n",
       " ('Port of Vienna', 'Port of Haifa'),\n",
       " ('Port of Antwerp', 'Mina Salman'),\n",
       " ('Port of Antwerp', 'Port of Haifa'),\n",
       " ('Port of Shanghai', 'Mina Salman'),\n",
       " ('Port of Shanghai', 'Port of Haifa'),\n",
       " ('Port of Hamburg_Czeck', 'Mina Salman'),\n",
       " ('Port of Hamburg_Czeck', 'Port of Haifa'),\n",
       " ('Port of Marseille', 'Mina Salman'),\n",
       " ('Port of Marseille', 'Port of Haifa'),\n",
       " ('Port of Hamburg_Germany', 'Mina Salman'),\n",
       " ('Port of Hamburg_Germany', 'Port of Haifa'),\n",
       " ('Port of Hong Kong', 'Mina Salman'),\n",
       " ('Port of Hong Kong', 'Port of Haifa'),\n",
       " ('Port of Budapest', 'Mina Salman'),\n",
       " ('Port of Budapest', 'Port of Haifa'),\n",
       " ('Port of Jawaharlal Nehru', 'Mina Salman'),\n",
       " ('Port of Jawaharlal Nehru', 'Port of Haifa'),\n",
       " ('Port of Gioia Tauro', 'Mina Salman'),\n",
       " ('Port of Gioia Tauro', 'Port of Haifa'),\n",
       " ('Port of Nagoya', 'Mina Salman'),\n",
       " ('Port of Nagoya', 'Port of Haifa'),\n",
       " ('Port of Busan', 'Mina Salman'),\n",
       " ('Port of Busan', 'Port of Haifa'),\n",
       " ('Penang Port', 'Mina Salman'),\n",
       " ('Penang Port', 'Port of Haifa'),\n",
       " ('Port of Manzanillo', 'Mina Salman'),\n",
       " ('Port of Manzanillo', 'Port of Haifa'),\n",
       " ('Port of Rotterdam', 'Mina Salman'),\n",
       " ('Port of Rotterdam', 'Port of Haifa'),\n",
       " ('Port of Gdansk', 'Mina Salman'),\n",
       " ('Port of Gdansk', 'Port of Haifa'),\n",
       " ('Port of Vladivostok', 'Mina Salman'),\n",
       " ('Port of Vladivostok', 'Port of Haifa'),\n",
       " ('Port of Novorossiysk', 'Mina Salman'),\n",
       " ('Port of Novorossiysk', 'Port of Haifa'),\n",
       " ('Port of St. Petersburg', 'Mina Salman'),\n",
       " ('Port of St. Petersburg', 'Port of Haifa'),\n",
       " ('Port of Algeciras', 'Mina Salman'),\n",
       " ('Port of Algeciras', 'Port of Haifa'),\n",
       " ('Port of Bangkok', 'Mina Salman'),\n",
       " ('Port of Bangkok', 'Port of Haifa'),\n",
       " ('Port of Mersin', 'Mina Salman'),\n",
       " ('Port of Mersin', 'Port of Haifa'),\n",
       " ('Port of Immingham', 'Mina Salman'),\n",
       " ('Port of Immingham', 'Port of Haifa'),\n",
       " ('Port of New York', 'Mina Salman'),\n",
       " ('Port of New York', 'Port of Haifa'),\n",
       " ('Port of Los Angeles', 'Mina Salman'),\n",
       " ('Port of Los Angeles', 'Port of Haifa'),\n",
       " ('Port of Saigon', 'Mina Salman'),\n",
       " ('Port of Saigon', 'Port of Haifa')]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "routes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Decision Variables\n",
    "X = LpVariable.dicts(\"ShipmentAmount\",(supply_points, demand_points),0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Vienna': {'Mina Salman': ShipmentAmount_Port_of_Vienna_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Vienna_Port_of_Haifa},\n",
       " 'Port of Antwerp': {'Mina Salman': ShipmentAmount_Port_of_Antwerp_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Antwerp_Port_of_Haifa},\n",
       " 'Port of Shanghai': {'Mina Salman': ShipmentAmount_Port_of_Shanghai_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Shanghai_Port_of_Haifa},\n",
       " 'Port of Hamburg_Czeck': {'Mina Salman': ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa},\n",
       " 'Port of Marseille': {'Mina Salman': ShipmentAmount_Port_of_Marseille_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Marseille_Port_of_Haifa},\n",
       " 'Port of Hamburg_Germany': {'Mina Salman': ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa},\n",
       " 'Port of Hong Kong': {'Mina Salman': ShipmentAmount_Port_of_Hong_Kong_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa},\n",
       " 'Port of Budapest': {'Mina Salman': ShipmentAmount_Port_of_Budapest_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Budapest_Port_of_Haifa},\n",
       " 'Port of Jawaharlal Nehru': {'Mina Salman': ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa},\n",
       " 'Port of Gioia Tauro': {'Mina Salman': ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa},\n",
       " 'Port of Nagoya': {'Mina Salman': ShipmentAmount_Port_of_Nagoya_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Nagoya_Port_of_Haifa},\n",
       " 'Port of Busan': {'Mina Salman': ShipmentAmount_Port_of_Busan_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Busan_Port_of_Haifa},\n",
       " 'Penang Port': {'Mina Salman': ShipmentAmount_Penang_Port_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Penang_Port_Port_of_Haifa},\n",
       " 'Port of Manzanillo': {'Mina Salman': ShipmentAmount_Port_of_Manzanillo_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa},\n",
       " 'Port of Rotterdam': {'Mina Salman': ShipmentAmount_Port_of_Rotterdam_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa},\n",
       " 'Port of Gdansk': {'Mina Salman': ShipmentAmount_Port_of_Gdansk_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Gdansk_Port_of_Haifa},\n",
       " 'Port of Vladivostok': {'Mina Salman': ShipmentAmount_Port_of_Vladivostok_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa},\n",
       " 'Port of Novorossiysk': {'Mina Salman': ShipmentAmount_Port_of_Novorossiysk_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa},\n",
       " 'Port of St. Petersburg': {'Mina Salman': ShipmentAmount_Port_of_St._Petersburg_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa},\n",
       " 'Port of Algeciras': {'Mina Salman': ShipmentAmount_Port_of_Algeciras_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Algeciras_Port_of_Haifa},\n",
       " 'Port of Bangkok': {'Mina Salman': ShipmentAmount_Port_of_Bangkok_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Bangkok_Port_of_Haifa},\n",
       " 'Port of Mersin': {'Mina Salman': ShipmentAmount_Port_of_Mersin_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Mersin_Port_of_Haifa},\n",
       " 'Port of Immingham': {'Mina Salman': ShipmentAmount_Port_of_Immingham_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Immingham_Port_of_Haifa},\n",
       " 'Port of New York': {'Mina Salman': ShipmentAmount_Port_of_New_York_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_New_York_Port_of_Haifa},\n",
       " 'Port of Los Angeles': {'Mina Salman': ShipmentAmount_Port_of_Los_Angeles_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa},\n",
       " 'Port of Saigon': {'Mina Salman': ShipmentAmount_Port_of_Saigon_Mina_Salman,\n",
       "  'Port of Haifa': ShipmentAmount_Port_of_Saigon_Port_of_Haifa}}"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Objective Function\n",
    "prob += sum(X[i][j]*distance[i][j] for (i,j) in routes)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "3856*ShipmentAmount_Penang_Port_Mina_Salman + 5310*ShipmentAmount_Penang_Port_Port_of_Haifa + 5631*ShipmentAmount_Port_of_Algeciras_Mina_Salman + 2242*ShipmentAmount_Port_of_Algeciras_Port_of_Haifa + 7193*ShipmentAmount_Port_of_Antwerp_Mina_Salman + 3804*ShipmentAmount_Port_of_Antwerp_Port_of_Haifa + 5102*ShipmentAmount_Port_of_Bangkok_Mina_Salman + 6556*ShipmentAmount_Port_of_Bangkok_Port_of_Haifa + 5615*ShipmentAmount_Port_of_Budapest_Mina_Salman + 2192*ShipmentAmount_Port_of_Budapest_Port_of_Haifa + 7398*ShipmentAmount_Port_of_Busan_Mina_Salman + 8852*ShipmentAmount_Port_of_Busan_Port_of_Haifa + 8277*ShipmentAmount_Port_of_Gdansk_Mina_Salman + 4889*ShipmentAmount_Port_of_Gdansk_Port_of_Haifa + 4620*ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman + 1230*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa + 7561*ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman + 4173*ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa + 7561*ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman + 4173*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa + 6021*ShipmentAmount_Port_of_Hong_Kong_Mina_Salman + 7475*ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa + 7334*ShipmentAmount_Port_of_Immingham_Mina_Salman + 3944*ShipmentAmount_Port_of_Immingham_Port_of_Haifa + 1589*ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman + 3510*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa + 14552*ShipmentAmount_Port_of_Los_Angeles_Mina_Salman + 11048*ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa + 13061*ShipmentAmount_Port_of_Manzanillo_Mina_Salman + 9673*ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa + 5332*ShipmentAmount_Port_of_Marseille_Mina_Salman + 1946*ShipmentAmount_Port_of_Marseille_Port_of_Haifa + 3831*ShipmentAmount_Port_of_Mersin_Mina_Salman + 233*ShipmentAmount_Port_of_Mersin_Port_of_Haifa + 7759*ShipmentAmount_Port_of_Nagoya_Mina_Salman + 9214*ShipmentAmount_Port_of_Nagoya_Port_of_Haifa + 9168*ShipmentAmount_Port_of_New_York_Mina_Salman + 5756*ShipmentAmount_Port_of_New_York_Port_of_Haifa + 5139*ShipmentAmount_Port_of_Novorossiysk_Mina_Salman + 1715*ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa + 7284*ShipmentAmount_Port_of_Rotterdam_Mina_Salman + 3894*ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa + 4964*ShipmentAmount_Port_of_Saigon_Mina_Salman + 6418*ShipmentAmount_Port_of_Saigon_Port_of_Haifa + 6882*ShipmentAmount_Port_of_Shanghai_Mina_Salman + 8336*ShipmentAmount_Port_of_Shanghai_Port_of_Haifa + 8787*ShipmentAmount_Port_of_St._Petersburg_Mina_Salman + 5398*ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa + 5729*ShipmentAmount_Port_of_Vienna_Mina_Salman + 2306*ShipmentAmount_Port_of_Vienna_Port_of_Haifa + 7981*ShipmentAmount_Port_of_Vladivostok_Mina_Salman + 9435*ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa + 0\n",
       "VARIABLES\n",
       "ShipmentAmount_Penang_Port_Mina_Salman Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Budapest_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Budapest_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Busan_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hong_Kong_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Mersin_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Mersin_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_New_York_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Novorossiysk_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_St._Petersburg_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vienna_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Vienna_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vladivostok_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa Continuous"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "3856*ShipmentAmount_Penang_Port_Mina_Salman + 5310*ShipmentAmount_Penang_Port_Port_of_Haifa + 5631*ShipmentAmount_Port_of_Algeciras_Mina_Salman + 2242*ShipmentAmount_Port_of_Algeciras_Port_of_Haifa + 7193*ShipmentAmount_Port_of_Antwerp_Mina_Salman + 3804*ShipmentAmount_Port_of_Antwerp_Port_of_Haifa + 5102*ShipmentAmount_Port_of_Bangkok_Mina_Salman + 6556*ShipmentAmount_Port_of_Bangkok_Port_of_Haifa + 5615*ShipmentAmount_Port_of_Budapest_Mina_Salman + 2192*ShipmentAmount_Port_of_Budapest_Port_of_Haifa + 7398*ShipmentAmount_Port_of_Busan_Mina_Salman + 8852*ShipmentAmount_Port_of_Busan_Port_of_Haifa + 8277*ShipmentAmount_Port_of_Gdansk_Mina_Salman + 4889*ShipmentAmount_Port_of_Gdansk_Port_of_Haifa + 4620*ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman + 1230*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa + 7561*ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman + 4173*ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa + 7561*ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman + 4173*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa + 6021*ShipmentAmount_Port_of_Hong_Kong_Mina_Salman + 7475*ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa + 7334*ShipmentAmount_Port_of_Immingham_Mina_Salman + 3944*ShipmentAmount_Port_of_Immingham_Port_of_Haifa + 1589*ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman + 3510*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa + 14552*ShipmentAmount_Port_of_Los_Angeles_Mina_Salman + 11048*ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa + 13061*ShipmentAmount_Port_of_Manzanillo_Mina_Salman + 9673*ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa + 5332*ShipmentAmount_Port_of_Marseille_Mina_Salman + 1946*ShipmentAmount_Port_of_Marseille_Port_of_Haifa + 3831*ShipmentAmount_Port_of_Mersin_Mina_Salman + 233*ShipmentAmount_Port_of_Mersin_Port_of_Haifa + 7759*ShipmentAmount_Port_of_Nagoya_Mina_Salman + 9214*ShipmentAmount_Port_of_Nagoya_Port_of_Haifa + 9168*ShipmentAmount_Port_of_New_York_Mina_Salman + 5756*ShipmentAmount_Port_of_New_York_Port_of_Haifa + 5139*ShipmentAmount_Port_of_Novorossiysk_Mina_Salman + 1715*ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa + 7284*ShipmentAmount_Port_of_Rotterdam_Mina_Salman + 3894*ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa + 4964*ShipmentAmount_Port_of_Saigon_Mina_Salman + 6418*ShipmentAmount_Port_of_Saigon_Port_of_Haifa + 6882*ShipmentAmount_Port_of_Shanghai_Mina_Salman + 8336*ShipmentAmount_Port_of_Shanghai_Port_of_Haifa + 8787*ShipmentAmount_Port_of_St._Petersburg_Mina_Salman + 5398*ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa + 5729*ShipmentAmount_Port_of_Vienna_Mina_Salman + 2306*ShipmentAmount_Port_of_Vienna_Port_of_Haifa + 7981*ShipmentAmount_Port_of_Vladivostok_Mina_Salman + 9435*ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa + 0\n",
       "SUBJECT TO\n",
       "_C1: ShipmentAmount_Penang_Port_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Algeciras_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Antwerp_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Bangkok_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Budapest_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Busan_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Gdansk_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hong_Kong_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Immingham_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Manzanillo_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Marseille_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Mersin_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Nagoya_Mina_Salman\n",
       " + ShipmentAmount_Port_of_New_York_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Novorossiysk_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Rotterdam_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Saigon_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Shanghai_Mina_Salman\n",
       " + ShipmentAmount_Port_of_St._Petersburg_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Vienna_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Vladivostok_Mina_Salman >= 41256358.47\n",
       "\n",
       "_C2: ShipmentAmount_Penang_Port_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Budapest_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Mersin_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vienna_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa >= 35878870.91\n",
       "\n",
       "VARIABLES\n",
       "ShipmentAmount_Penang_Port_Mina_Salman Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Budapest_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Budapest_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Busan_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hong_Kong_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Mersin_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Mersin_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_New_York_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Novorossiysk_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_St._Petersburg_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vienna_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Vienna_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vladivostok_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa Continuous"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Constraints\n",
    "for j in demand_points:\n",
    "    prob += sum(X[i][j] for i in supply_points) >= glass_demand[j]\n",
    "    \n",
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "3856*ShipmentAmount_Penang_Port_Mina_Salman + 5310*ShipmentAmount_Penang_Port_Port_of_Haifa + 5631*ShipmentAmount_Port_of_Algeciras_Mina_Salman + 2242*ShipmentAmount_Port_of_Algeciras_Port_of_Haifa + 7193*ShipmentAmount_Port_of_Antwerp_Mina_Salman + 3804*ShipmentAmount_Port_of_Antwerp_Port_of_Haifa + 5102*ShipmentAmount_Port_of_Bangkok_Mina_Salman + 6556*ShipmentAmount_Port_of_Bangkok_Port_of_Haifa + 5615*ShipmentAmount_Port_of_Budapest_Mina_Salman + 2192*ShipmentAmount_Port_of_Budapest_Port_of_Haifa + 7398*ShipmentAmount_Port_of_Busan_Mina_Salman + 8852*ShipmentAmount_Port_of_Busan_Port_of_Haifa + 8277*ShipmentAmount_Port_of_Gdansk_Mina_Salman + 4889*ShipmentAmount_Port_of_Gdansk_Port_of_Haifa + 4620*ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman + 1230*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa + 7561*ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman + 4173*ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa + 7561*ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman + 4173*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa + 6021*ShipmentAmount_Port_of_Hong_Kong_Mina_Salman + 7475*ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa + 7334*ShipmentAmount_Port_of_Immingham_Mina_Salman + 3944*ShipmentAmount_Port_of_Immingham_Port_of_Haifa + 1589*ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman + 3510*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa + 14552*ShipmentAmount_Port_of_Los_Angeles_Mina_Salman + 11048*ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa + 13061*ShipmentAmount_Port_of_Manzanillo_Mina_Salman + 9673*ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa + 5332*ShipmentAmount_Port_of_Marseille_Mina_Salman + 1946*ShipmentAmount_Port_of_Marseille_Port_of_Haifa + 3831*ShipmentAmount_Port_of_Mersin_Mina_Salman + 233*ShipmentAmount_Port_of_Mersin_Port_of_Haifa + 7759*ShipmentAmount_Port_of_Nagoya_Mina_Salman + 9214*ShipmentAmount_Port_of_Nagoya_Port_of_Haifa + 9168*ShipmentAmount_Port_of_New_York_Mina_Salman + 5756*ShipmentAmount_Port_of_New_York_Port_of_Haifa + 5139*ShipmentAmount_Port_of_Novorossiysk_Mina_Salman + 1715*ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa + 7284*ShipmentAmount_Port_of_Rotterdam_Mina_Salman + 3894*ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa + 4964*ShipmentAmount_Port_of_Saigon_Mina_Salman + 6418*ShipmentAmount_Port_of_Saigon_Port_of_Haifa + 6882*ShipmentAmount_Port_of_Shanghai_Mina_Salman + 8336*ShipmentAmount_Port_of_Shanghai_Port_of_Haifa + 8787*ShipmentAmount_Port_of_St._Petersburg_Mina_Salman + 5398*ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa + 5729*ShipmentAmount_Port_of_Vienna_Mina_Salman + 2306*ShipmentAmount_Port_of_Vienna_Port_of_Haifa + 7981*ShipmentAmount_Port_of_Vladivostok_Mina_Salman + 9435*ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa + 0\n",
       "SUBJECT TO\n",
       "_C1: ShipmentAmount_Penang_Port_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Algeciras_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Antwerp_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Bangkok_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Budapest_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Busan_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Gdansk_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hong_Kong_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Immingham_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Manzanillo_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Marseille_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Mersin_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Nagoya_Mina_Salman\n",
       " + ShipmentAmount_Port_of_New_York_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Novorossiysk_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Rotterdam_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Saigon_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Shanghai_Mina_Salman\n",
       " + ShipmentAmount_Port_of_St._Petersburg_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Vienna_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Vladivostok_Mina_Salman >= 41256358.47\n",
       "\n",
       "_C2: ShipmentAmount_Penang_Port_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Budapest_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Mersin_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vienna_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa >= 35878870.91\n",
       "\n",
       "_C3: ShipmentAmount_Port_of_Vienna_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Vienna_Port_of_Haifa = 897756.3973\n",
       "\n",
       "_C4: ShipmentAmount_Port_of_Antwerp_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Haifa = 3142147.379\n",
       "\n",
       "_C5: ShipmentAmount_Port_of_Shanghai_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Haifa = 16877820.21\n",
       "\n",
       "_C6: ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa = 2513717.904\n",
       "\n",
       "_C7: ShipmentAmount_Port_of_Marseille_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Haifa = 4039903.774\n",
       "\n",
       "_C8: ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa = 9785544.696\n",
       "\n",
       "_C9: ShipmentAmount_Port_of_Hong_Kong_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa = 3788531.983\n",
       "\n",
       "_C10: ShipmentAmount_Port_of_Budapest_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Budapest_Port_of_Haifa = 1346634.591\n",
       "\n",
       "_C11: ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa = 1256858.952\n",
       "\n",
       "_C12: ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa = 3411474.298\n",
       "\n",
       "_C13: ShipmentAmount_Port_of_Nagoya_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Haifa = 4039903.774\n",
       "\n",
       "_C14: ShipmentAmount_Port_of_Busan_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Haifa = 1975064.067\n",
       "\n",
       "_C15: ShipmentAmount_Penang_Port_Mina_Salman\n",
       " + ShipmentAmount_Penang_Port_Port_of_Haifa = 1526185.87\n",
       "\n",
       "_C16: ShipmentAmount_Port_of_Manzanillo_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa = 1975064.067\n",
       "\n",
       "_C17: ShipmentAmount_Port_of_Rotterdam_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa = 1705737.149\n",
       "\n",
       "_C18: ShipmentAmount_Port_of_Gdansk_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Haifa = 3052371.74\n",
       "\n",
       "_C19: ShipmentAmount_Port_of_Vladivostok_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa = 498472.9915\n",
       "\n",
       "_C20: ShipmentAmount_Port_of_Novorossiysk_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa = 243131.0679\n",
       "\n",
       "_C21: ShipmentAmount_Port_of_St._Petersburg_Mina_Salman\n",
       " + ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa = 245927.9741\n",
       "\n",
       "_C22: ShipmentAmount_Port_of_Algeciras_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Haifa = 1615961.509\n",
       "\n",
       "_C23: ShipmentAmount_Port_of_Bangkok_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Haifa = 1077307.673\n",
       "\n",
       "_C24: ShipmentAmount_Port_of_Mersin_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Mersin_Port_of_Haifa = 1256858.952\n",
       "\n",
       "_C25: ShipmentAmount_Port_of_Immingham_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Haifa = 1795512.788\n",
       "\n",
       "_C26: ShipmentAmount_Port_of_New_York_Mina_Salman\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Haifa = 4708260.278\n",
       "\n",
       "_C27: ShipmentAmount_Port_of_Los_Angeles_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa = 3281771.629\n",
       "\n",
       "_C28: ShipmentAmount_Port_of_Saigon_Mina_Salman\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Haifa = 1077307.673\n",
       "\n",
       "VARIABLES\n",
       "ShipmentAmount_Penang_Port_Mina_Salman Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Budapest_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Budapest_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Busan_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hong_Kong_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Hong_Kong_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Mersin_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Mersin_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_New_York_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Novorossiysk_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_St._Petersburg_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vienna_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Vienna_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vladivostok_Mina_Salman Continuous\n",
       "ShipmentAmount_Port_of_Vladivostok_Port_of_Haifa Continuous"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Constraints\n",
    "for i in supply_points:\n",
    "    prob += sum(X[i][j] for j in demand_points) == glass_supply[i]\n",
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Status: Optimal\n",
      "ShipmentAmount_Penang_Port_Mina_Salman = 1526185.9\n",
      "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa = 1615961.5\n",
      "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa = 3142147.4\n",
      "ShipmentAmount_Port_of_Bangkok_Mina_Salman = 1077307.7\n",
      "ShipmentAmount_Port_of_Budapest_Port_of_Haifa = 1346634.6\n",
      "ShipmentAmount_Port_of_Busan_Mina_Salman = 1975064.1\n",
      "ShipmentAmount_Port_of_Gdansk_Mina_Salman = 3052371.7\n",
      "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa = 3411474.3\n",
      "ShipmentAmount_Port_of_Hamburg_Czeck_Mina_Salman = 2046629.8\n",
      "ShipmentAmount_Port_of_Hamburg_Czeck_Port_of_Haifa = 467088.14\n",
      "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa = 9785544.7\n",
      "ShipmentAmount_Port_of_Hong_Kong_Mina_Salman = 3788532.0\n",
      "ShipmentAmount_Port_of_Immingham_Port_of_Haifa = 1795512.8\n",
      "ShipmentAmount_Port_of_Jawaharlal_Nehru_Mina_Salman = 1256859.0\n",
      "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa = 3281771.6\n",
      "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa = 1975064.1\n",
      "ShipmentAmount_Port_of_Marseille_Mina_Salman = 4039903.8\n",
      "ShipmentAmount_Port_of_Mersin_Port_of_Haifa = 1256859.0\n",
      "ShipmentAmount_Port_of_Nagoya_Mina_Salman = 4039903.8\n",
      "ShipmentAmount_Port_of_New_York_Port_of_Haifa = 4708260.3\n",
      "ShipmentAmount_Port_of_Novorossiysk_Port_of_Haifa = 243131.07\n",
      "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa = 1705737.1\n",
      "ShipmentAmount_Port_of_Saigon_Mina_Salman = 1077307.7\n",
      "ShipmentAmount_Port_of_Shanghai_Mina_Salman = 16877820.0\n",
      "ShipmentAmount_Port_of_St._Petersburg_Port_of_Haifa = 245927.97\n",
      "ShipmentAmount_Port_of_Vienna_Port_of_Haifa = 897756.4\n",
      "ShipmentAmount_Port_of_Vladivostok_Mina_Salman = 498472.99\n",
      "Total kilogram_miles = 435707123523.22003\n"
     ]
    }
   ],
   "source": [
    "prob.solve()\n",
    "\n",
    "print(\"Status:\", LpStatus[prob.status])\n",
    "\n",
    "for v in prob.variables():\n",
    "    if v.varValue > 0:\n",
    "        print(v.name, \"=\", v.varValue)\n",
    "\n",
    "print(\"Total kilogram_miles =\", value(prob.objective))\n"
   ]
  }
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